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  • Cited by 61
Publisher:
Cambridge University Press
Online publication date:
May 2010
Print publication year:
1998
Online ISBN:
9780511721342
DOI:
https://doi.org/10.1017/CBO9780511721342
Subjects:
Mathematics (general), Mathematics, Discrete Mathematics Information Theory and Coding
Series:
Encyclopedia of Mathematics and its Applications (53)
Information

Book description

This book is devoted to the study of classical combinatorial structures such as random graphs, permutations, and systems of random linear equations in finite fields. The author shows how the application of the generalized scheme of allocation in the study of random graphs and permutations reduces the combinatorial problems to classical problems of probability theory on the summation of independent random variables. He concentrates on research by Russian mathematicians, including a discussion of equations containing an unknown permutation and a presentation of techniques for solving systems of random linear equations in finite fields. These results will interest specialists in combinatorics and probability theory and will also be useful in applied areas of probabilistic combinatorics such as communication theory, cryptology, and mathematical genetics.

Reviews

Review of the hardback:‘Many of the results appear here for the first time in an English translation. The book is therefore to be welcomed for bringing this material to a wider audience.’

W. T. Gowers Source: Bulletin of the London Mathematical Society

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